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6 papers · 2 filters
A Briancon-Skoda type theorem for graded systems of ideals
Alex Kuronya, Alexandre Wolfe
We establish a generalization of the Briancon-Skoda theorem about integral closures of ideals for graded systems of ideals satisfying a certain geometric condition.
Riemann Surfaces of genus g with an automorphism of order p prime and p>g
Giancarlo Urzua
The present work completes the classification of the compact Riemann surfaces of genus g with an analytic automorphism of order p (prime number) and p > g. More precisely, we const…
On the number of subrepresentations of a general quiver representation
Harm Derksen, Aidan Schofield, Jerzy Weyman
It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of…
Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals
Nero Budur, Mircea Mustata, Morihiko Saito
We give a combinatorial description of the roots of the Bernstein-Sato polynomial of a monomial ideal using the Newton polyhedron and some semigroups associated to the ideal.
Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
Nero Budur, Mircea Mustata, Morihiko Saito
We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and invariants of singularities in positive chracteristic. We give in this setting…
Asymptotic invariants of line bundles
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
Let X be a smooth complex projective variety of dimension d. It is classical that ample line bundles on X satisfy many beautiful geometric, cohomological, and numerical properties…